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Finding the Fourth Proportional to 3,024.57, 4,538.12 and 1,269.90

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Solution

The fourth proportional to 3,024.57, 4,538.12 and 1,269.90 is: 1,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.57 : 4,538.12 = 1,269.90 : x
  2. Step 2: Convert to fraction form
    3,024.57/4,538.12 = 1,269.90/x
  3. Step 3: Cross multiply
    3,024.57x = 4,538.12 × 1,269.90
  4. Step 4: Simplify right side
    3,024.57x = 5,762,952.24
  5. Step 5: Solve for x
    x = 5,762,952.24/3,024.57
  6. Step 6: Final answer
    x = 1,905.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.